264116367360 has 832 divisors, whose sum is σ = 1032301900800. Its totient is φ = 63764692992.

The previous prime is 264116367329. The next prime is 264116367377. The reversal of 264116367360 is 63763611462.

264116367360 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 1 + 636 + 7 + 3 + 6 + 0 = 666.

264116367360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241642974 + ... + 241644066.

Almost surely, 2^264116367360 is an apocalyptic number.

264116367360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264116367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516150950400).

264116367360 is an abundant number, since it is smaller than the sum of its proper divisors (768185533440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

264116367360 is a wasteful number, since it uses less digits than its factorization.

264116367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 264116367360 in words is "two hundred sixty-four billion, one hundred sixteen million, three hundred sixty-seven thousand, three hundred sixty".